LCM of 916, 678, 759, 880, 619
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 678, 759, 880, 619 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 916, 678, 759, 880, 619. So, keep reading to learn more.
Given numbers are 916,678,759,880,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,678,759,880,619 is 972604641360.
Find LCM of 916,678,759,880,619 with Prime Factorization
| 2 | 916, 678, 759, 880, 619 |
| 2 | 458, 339, 759, 440, 619 |
| 3 | 229, 339, 759, 220, 619 |
| 11 | 229, 113, 253, 220, 619 |
| 229, 113, 23, 20, 619 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 229 x 113 x 23 x 20 x 619 = 972604641360
Therefore, the lowest common multiple of 916,678,759,880,619 is 972604641360.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
916 x 678 x 759 x 880 x 619 = 256767625319040
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
916 : 1, 2, 4, 229, 458, 916
678 : 1, 2, 3, 6, 113, 226, 339, 678
759 : 1, 3, 11, 23, 33, 69, 253, 759
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,678,759,880,619, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
678:2x 3x 113
759:3x 11x 23
880:2x 2x 2x 2x 5x 11
619:619
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 11 = 264
Therefore, the value for common factors is 264.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 256767625319040/(1x264)
LCM = 256767625319040/264
LCM = 972604641360
Thus, we can understand that the LCM of 916,678,759,880,619 is 972604641360.
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FAQs on LCM of 916, 678, 759, 880, 619
1. What is the LCM of 916, 678, 759, 880, 619?
Answer: LCM of 916, 678, 759, 880, 619 is 972604641360.
2. How to calculate the LCM of 916, 678, 759, 880, 619?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 916, 678, 759, 880, 619.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.